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CMS-PAS-BPH-14-009
Dependence of the $\Upsilon$(nS) production ratios on charged particle multiplicity in pp collisions at $\sqrt{s}= $ 7 TeV
Abstract: The ratios of the cross section of the $\Upsilon$(nS) mesons with $|y|<1.2$ are studied as a function of the number of charged particles with $p_{\mathrm{T}}> $ 0.4 GeV and $|\eta|< $ 2.4 produced in pp collisions at $\sqrt{s}= $ 7 TeV. Evidence of a decrease of the ratios between the higher and the lower mass states is observed, that is more pronounced at lower $p_{\mathrm{T}}$. For $\Upsilon$(nS) mesons of transverse momentum greater than 7 GeV, this effect is studied as a function of the underlying event sphericity, and of the distribution of charged particles with respect to the $\Upsilon$(nS) direction.
Figures Summary References CMS Publications
Figures

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Figure 1:
Fit to the mass spectrum of dimuon candidates with $p_{\mathrm{T}} > $ 7 GeV and $|y| < $ 1.2, in two ranges of charged particle multiplicity 0-10 (a) and 100-140 (b).

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Figure 1-a:
Fit to the mass spectrum of dimuon candidates with $p_{\mathrm{T}} > $ 7 GeV and $|y| < $ 1.2, in two ranges of charged particle multiplicity 0-10.

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Figure 1-b:
Fit to the mass spectrum of dimuon candidates with $p_{\mathrm{T}} > $ 7 GeV and $|y| < $ 1.2, in two ranges of charged particle multiplicity 100-140.

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Figure 2:
Production ratios for $\Upsilon$(2S)/$\Upsilon$(1S) and $\Upsilon$(2S)/$\Upsilon$(1S) in (a), and $\Upsilon$(3S)/$\Upsilon$(2S) in (b) as a function of N$^{|\eta |<2.4}_{tracks}$. The $\Upsilon$ states satisfy $ {p_{\mathrm {T}}} >$ 7 GeV and $|y|< $ 1.2, while tracks are counted for $|\eta | <$ 2.4 and ${p_{\mathrm {T}}} > $ 0.4 GeV. Error bars represent statistical uncertainties, while empty squares show the systematic ones.

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Figure 2-a:
Production ratios for $\Upsilon$(2S)/$\Upsilon$(1S) and $\Upsilon$(2S)/$\Upsilon$(1S) as a function of N$^{|\eta |<2.4}_{tracks}$. The $\Upsilon$ states satisfy $ {p_{\mathrm {T}}} >$ 7 GeV and $|y|< $ 1.2, while tracks are counted for $|\eta | <$ 2.4 and ${p_{\mathrm {T}}} > $ 0.4 GeV. Error bars represent statistical uncertainties, while empty squares show the systematic ones.

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Figure 2-b:
Production ratios for $\Upsilon$(3S)/$\Upsilon$(2S) as a function of N$^{|\eta |<2.4}_{tracks}$. The $\Upsilon$ states satisfy $ {p_{\mathrm {T}}} >$ 7 GeV and $|y|< $ 1.2, while tracks are counted for $|\eta | <$ 2.4 and ${p_{\mathrm {T}}} > $ 0.4 GeV. Error bars represent statistical uncertainties, while empty squares show the systematic ones.

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Figure 3:
Mean $p_{\mathrm{T}}$ for the three $\Upsilon$ states, as well as of the sideband background , as a function of multiplicity. The $\Upsilon$ states satisfy $ {p_{\mathrm {T}}} > $ 7 GeV and $|y|< $ 1.2, while charged particles are counted for $|\eta | <$ 2.4 and ${p_{\mathrm {T}}} > $ 0.4 GeV. Error bars represent statistical uncertainties, while empty squares are the systematic uncertainties.

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Figure 4:
Production ratios vs multiplicity for $\Upsilon$(2S)/$\Upsilon$(1S) in (a), $\Upsilon$(3S)/$\Upsilon$(1S) in (b), $\Upsilon$(3S)/$\Upsilon$(2S) in (c) in different regions of ${p_{\mathrm {T}}} $. $\Upsilon$ states satisfy $|y|< $ 1.2, while tracks are counted for $|\eta | <$ 2.4 and ${p_{\mathrm {T}}} > $ 0.4 GeV. Error bars represent statistical uncertainties, while empty squares show the systematic ones.

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Figure 4-a:
Production ratios vs multiplicity for $\Upsilon$(2S)/$\Upsilon$(1S) in different regions of ${p_{\mathrm {T}}} $. $\Upsilon$ states satisfy $|y|< $ 1.2, while tracks are counted for $|\eta | <$ 2.4 and ${p_{\mathrm {T}}} > $ 0.4 GeV. Error bars represent statistical uncertainties, while empty squares show the systematic ones.

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Figure 4-b:
Production ratios vs multiplicity for $\Upsilon$(3S)/$\Upsilon$(1S) in different regions of ${p_{\mathrm {T}}} $. $\Upsilon$ states satisfy $|y|< $ 1.2, while tracks are counted for $|\eta | <$ 2.4 and ${p_{\mathrm {T}}} > $ 0.4 GeV. Error bars represent statistical uncertainties, while empty squares show the systematic ones.

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Figure 4-c:
Production ratios vs multiplicity for $\Upsilon$(3S)/$\Upsilon$(2S) in different regions of ${p_{\mathrm {T}}} $. $\Upsilon$ states satisfy $|y|< $ 1.2, while tracks are counted for $|\eta | <$ 2.4 and ${p_{\mathrm {T}}} > $ 0.4 GeV. Error bars represent statistical uncertainties, while empty squares show the systematic ones.

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Figure 5:
In (a), the schematic view of the tracks kinematic regions in the azimuthal plane with respect to the $\Upsilon$(nS) direction. In (b), the production ratios for $\Upsilon$(2S) and $\Upsilon$(3S) over $\Upsilon$(1S) as a function of N$^{|\eta |<2.4}_{tracks}$ measured in the kinematic regions shown in (a). The $\Upsilon$ states satisfy $ {p_{\mathrm {T}}} > $ 7 GeV and $|y|< $ 1.2, while charged particles are counted for $|\eta ^{tracks}| <$ 2.4 and $ {p_{\mathrm {T}}} ^{tracks} > $ 0.4 GeV. Error bars represent statistical uncertainties, while empty squares show the systematic one.

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Figure 5-a:
The schematic view of the tracks kinematic regions in the azimuthal plane with respect to the $\Upsilon$(nS) direction.

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Figure 5-b:
The production ratios for $\Upsilon$(2S) and $\Upsilon$(3S) over $\Upsilon$(1S) as a function of N$^{|\eta |<2.4}_{tracks}$ measured in the kinematic regions shown in Fig. 5-a. The $\Upsilon$ states satisfy $ {p_{\mathrm {T}}} > $ 7 GeV and $|y|< $ 1.2, while charged particles are counted for $|\eta ^{tracks}| <$ 2.4 and $ {p_{\mathrm {T}}} ^{tracks} > $ 0.4 GeV. Error bars represent statistical uncertainties, while empty squares show the systematic one.

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Figure 6:
Production ratios as a function of N$^{|\eta |< 2.4}_{tracks}$ for $\Upsilon$(2S)/$\Upsilon$(1S) and $\Upsilon$(3S)/$\Upsilon$(1S), in different intervals of events sphericity. The $\Upsilon$ states satisfy $ {p_{\mathrm {T}}} > $ 7 GeV and $|y|< $ 1.2, while charged particles are counted for $|\eta | <$ 2.4 and ${p_{\mathrm {T}}} > $ 0.4 GeV. Error bars represent statistical uncertainties, while empty squares are the systematic ones.

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Figure 6-a:
Production ratios as a function of N$^{|\eta |< 2.4}_{tracks}$ for $\Upsilon$(2S)/$\Upsilon$(1S) and $\Upsilon$(3S)/$\Upsilon$(1S), in three categories based on the number of charged particles produced in a cone $\Delta \mathrm{R} < $ 0.5 around the $\Upsilon$ direction. The $\Upsilon$ states satisfy $ {p_{\mathrm {T}}} > $ 7 GeV and $|y|< $ 1.2, while charged particles are counted for $|\eta | <$ 2.4 and ${p_{\mathrm {T}}} > $ 0.4 GeV. Error bars represent statistical uncertainties, while empty squares are the systematic ones.

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Figure 6-b:
Production ratios as a function of N$^{|\eta |< 2.4}_{tracks}$ for $\Upsilon$(2S)/$\Upsilon$(1S) and $\Upsilon$(3S)/$\Upsilon$(1S), in different intervals of events sphericity. The $\Upsilon$ states satisfy $ {p_{\mathrm {T}}} > $ 7 GeV and $|y|< $ 1.2, while charged particles are counted for $|\eta | <$ 2.4 and ${p_{\mathrm {T}}} > $ 0.4 GeV. Error bars represent statistical uncertainties, while empty squares are the systematic ones.
Summary
We have measured the ratio between the $\Upsilon$(nS) yields in pp collisions at $\sqrt{s}=$ 7 TeV as a function of the number of charged particles produced with $|\eta| <$ 2.4 and $ p_{\mathrm{T}} >$ 0.4 GeV. We observe a significant reduction of the ratios of high over low mass $\Upsilon$ yields with increasing multiplicity. This result extends the observation in pp and pPb collisions in Ref. [1]. The effect is visible in different ranges of $ p_{\mathrm{T}} $, but decreases with increasing $ p_{\mathrm{T}} $. With the larger statistic available for $\Upsilon$(nS) with $ p_{\mathrm{T}} > $ 7 GeV, different observables were studied in order to obtain a better description of the phenomenology in connection with the underlying event. We found no link between the relative direction of the charged particles with respect to the direction of the $\Upsilon$ and no strong dependence on the event sphericity, while we observe a flattening of the $\Upsilon$(2S) /$\Upsilon$(1S) multiplicity dependence when a large number of particles is present in a strict cone around the $\Upsilon$ direction.
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